Evolution of consistent conjectures in semi-aggregative representation of games, with applications to public good games and contestsTools Possajennikov, Alex (2017) Evolution of consistent conjectures in semi-aggregative representation of games, with applications to public good games and contests. In: The theory of externalities and public goods: essays in memory of Richard C. Cornes. Springer, pp. 85-105. Full text not available from this repository.AbstractIn a semi-aggregative representation of a game, the payoff of a player depends on a player's own strategy and on a personalized aggregate of all players' strategies. Suppose that each player has a conjecture about the reaction of the personalized aggregate to a change in the player's own strategy. The players play an equilibrium given their conjectures, and evolution selects conjectures that lead to a higher payoff in such an equilibrium. Considering one player role, I show that for any conjectures of the other players, only conjectures that are consistent can be evolutionarily stable, where consistency means that the conjecture is, to a first approximation, correct at equilibrium. I illustrate this result in public good games and contests.
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